<p>Usually optimization comes out in the questions that ask for the maximum and the minimum without the word "relative" preceding it. This is really popular in the accumulation questions, but some of the questions that really get at the heart of optimization are: when is the amount of sand lowest, when is the particle furthest to the left, etc.?</p>
<p>As far as raw %, it varies from year-to-year. I would say shoot for 75 points (out of 108) and you should be safe.</p>
<p>hey well I got a question, um...are there actual released AP CALC AB exams online including the 2003 OR the 1998 or any past exam in the last decade? Please provide links or explain, thanks!</p>
<p>go here:</p>
<p>no I want multiple choice, actual AP calc AB released Multiple choice questions and answers , PLEASE HELP</p>
<p>To legally obtain those, you need to purchase them or obtain them from a teacher.</p>
<p>But I suspect a carefully crafted Google search might obtain a set or two.</p>
<p>I think 1998 or 2003 or any current released MC portion but I want to practice real questions and our teacher said that's the final exam, so please help</p>
<p>we took the 2007 free response today. on #3 i got 0 PTS.</p>
<p>not fun. but overall i think i got 25 points... is that looking good for a 3?</p>
<p>and is it split 50-50 points wise for frq and mc?</p>
<p>Yup, the FR and the MC are equally weighted (54 points each).</p>
<p>In general, I've been finding that FRQ sections are easier to get higher scores on than multiple choice sections, but the last two years, my students have been telling me that they thought the MC was easy. Whatever that means.</p>
<p>25 points on the FRQ combined with another 25 on the MC should put you in 3 range most years. It might even get you within striking distance of a 4 if you can figure out how to earn a few more points in the next couple weeks.</p>
<p>anyone with practice 2003 MC part or who found it on GOOGLE, lemme know since I only found 1988 which is very old</p>
<p>How much is each multiple choice worth? Are they weighed differently in Section 1A, and 1B.
Also I tried the calculator techniques which are very helpful at times, but the fnINT( [Math-9] seems to not give an accurate answer.
This is what I type: fnINT(x^2+4X,x,0,1) = 2.3333
Shouldn't the answer be 5?
What am I doing wrong?</p>
<p>integral(0 to 1) of (x^2+4x dx) =
(1/3 x^3 + 2x^2) evaluated from (0 to 1) =
(1/3 + 2) - (0 + 0) = 2.3333...</p>
<p>Not sure where the 5 comes from.</p>
<p>That being said, fnInt does not actually perform integration, but does a rectangular approximation using 100,000 rectangles for a midpoint Riemann sum. I forget if that's 100,000 rectangles total or 100,000 rectangles per x-unit (I think it's total). But the AP folks will assume that you're using fnInt on a calculator active section.</p>
<p>Each question on the multiple choice is weighted the same, regardless of what section it comes from. After weighting, each right answer is 1.2 of the 108 points, while each wrong answer subtracts 0.3 (-0.25 x 1.2), with the caveat that you can't go negative on the multiple choice. (Not that some students haven't tried!)</p>
<p>Ok thanks for the clarification on the grading system.</p>
<p>Btw i'm stupid ... I forgot to integrate, instead i just took the bounds lol ...
Hopefully i won't do that on the real test =p</p>
<p>I know the integral of e^x = e^x
But whats e^3lnx+e^3x</p>
<p>Is there some sort of rule? For derivates it's x`e^x</p>
<p>In general, the chain rule applies whenever you take the derivative of something other than an x. Simply using that would yield:</p>
<p>e^(3lnx) * 3/x + e^(3x) * 3.</p>
<p>But if you recognize that e^(3lnx) = e^(ln x^3) through the properties of logarithms, and that e^(ln x^3) = x^3, then you get the derivative of the first term a lot more easily as 3x^2. :)</p>
<p>e^(3lnx) * 3/x is equivalent... e^(3lnx) = x^3 as above, and x^3 * 3 / x = 3x^2.</p>
<p>we took the final exam today for calc---tears FR killed me, MC was doable-i think i did well, but FR will drop my score 2-3 points:(</p>
<p>U see I am a memorization guy who likes science/history, don't like applying stuff like physics/calc, any advice?</p>
<p>asc3nd, that is not how I do integrals on my calculator. I wasn't aware that option even existed. It seems kind of complicated to me.</p>
<p>I put the function into Y=, then hit 2nd+Trace. Option #7 is an integral of f(x)dx... once you hit it, it takes you to a picture of the graph and you just put in your lower and upper limit and it calculates the area under the curve for you (and shows you).</p>
<p>Woah awesome!
Yea thats a ton easier..</p>
<p>btw whats the dy/dx function (Option 6)</p>
<p>The dy/dx option lets you find the derivative at a certain point - it gives you a numeris value. So if you plug in:
Y1 = x^3</p>
<p>and go to option 6, then pick a number, say x = 5, you will get the derivative of x^3 at x = 5.</p>
<p>Or yo could just do it manually and it may be quicker... :)... depernds on the problem.</p>
<p>I just got my grade for my calc ab final exam... i think it was the audit exam, or whatever they give out to teachers to not show to students. I got a 54, which was a 4 on their scale. has anyone seen this and how do you think it compares to the actual test</p>
<p>I wouldn't use the integral feature contained within [2nd][TRACE].</p>
<p>So I mentioned that fnInt didn't actually calculate an integral, and neither does this feature. The difference is that fnInt actually calculates it using 100,000 rectangles and that the integral in [2nd][TRACE] only uses 1,000 rectangles. Your answers need to be accurate to three decimal places, and in some cases, the difference in the number of rectangles used will impact this level of accuracy.</p>
<p>Not to mention that fnInt allows you to calculate the area between curves and not just under a curve like the [2nd][TRACE] option does.</p>
<p>Same warning about the dy/dx, which does not actually calculate the slope, but does an "instantaneous rate of change" with h really small. h is smaller using nDeriv than the dy/dx option.</p>
<hr>
<p>As far as the 54, there is no designated scale, but I'm guessing a 54 is on the low-ish end of the 4 scale for most years.</p>